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<a href="classEigen_1_1TriangularView-members.html">List of all members</a> &#124;
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<div class="title">Eigen::TriangularView&lt; MatrixType_, Mode_ &gt; Class Template Reference<div class="ingroups"><a class="el" href="group__DenseMatrixManipulation__chapter.html">Dense matrix and array manipulation</a> &raquo; <a class="el" href="group__DenseMatrixManipulation__Reference.html">Reference</a> &raquo; <a class="el" href="group__Core__Module.html">Core module</a></div></div>  </div>
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<div class="textblock"><h3>template&lt;typename MatrixType_, unsigned int Mode_&gt;<br />
class Eigen::TriangularView&lt; MatrixType_, Mode_ &gt;</h3>

<p>Expression of a triangular part in a matrix. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">MatrixType</td><td>the type of the object in which we are taking the triangular part </td></tr>
    <tr><td class="paramname">Mode</td><td>the kind of triangular matrix expression to construct. Can be <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1">Upper</a>, <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdaf581029282d421eee5aae14238c6f749">Lower</a>, <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdadd28224d7ea92689930be73c1b50b0ad">UnitUpper</a>, <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cda8f40b928c10a71ba03e5f75ad2a72fda">UnitLower</a>, <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cda7b37877e0b9b0df28c9c2b669a633265">StrictlyUpper</a>, or <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cda2424988b6fca98be70b595632753ba81">StrictlyLower</a>. This is in fact a bit field; it must have either <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1">Upper</a> or <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdaf581029282d421eee5aae14238c6f749">Lower</a>, and additionally it may have <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cda2ef430bff6cc12c2d1e0ef01b95f7ff3">UnitDiag</a> or <a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdac4dc554a61510151ddd5bafaf6040223">ZeroDiag</a> or neither.</td></tr>
  </table>
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<p>This class represents a triangular part of a matrix, not necessarily square. Strictly speaking, for rectangular matrices one should speak of "trapezoid" parts. This class is the return type of MatrixBase::triangularView() and SparseMatrixBase::triangularView(), and most of the time this is the only way it is used.</p>
<dl class="section see"><dt>See also</dt><dd>MatrixBase::triangularView() </dd></dl>
</div>
<p>Inherits Eigen::TriangularViewImpl&lt; MatrixType_, Mode_, internal::traits&lt; MatrixType_ &gt;::StorageKind &gt;.</p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a74b35395bc560769e1cc0780d79e40b6"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1TriangularView.html">AdjointReturnType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a74b35395bc560769e1cc0780d79e40b6">adjoint</a> () const</td></tr>
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<tr class="memitem:afabe504a561db96a705b76d352df53b1"><td class="memItemLeft" align="right" valign="top">EIGEN_CONSTEXPR <a class="el" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#afabe504a561db96a705b76d352df53b1">cols</a> () const EIGEN_NOEXCEPT</td></tr>
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<tr class="memitem:a00cdd6b7f59dcddd70c820cf1f8f3b42"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1TriangularView.html">ConjugateReturnType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a00cdd6b7f59dcddd70c820cf1f8f3b42">conjugate</a> () const</td></tr>
<tr class="separator:a00cdd6b7f59dcddd70c820cf1f8f3b42"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a73ca46a84e28341d77555af1016b088f"><td class="memTemplParams" colspan="2">template&lt;bool Cond&gt; </td></tr>
<tr class="memitem:a73ca46a84e28341d77555af1016b088f"><td class="memTemplItemLeft" align="right" valign="top">std::conditional_t&lt; Cond, <a class="el" href="classEigen_1_1TriangularView.html">ConjugateReturnType</a>, <a class="el" href="classEigen_1_1TriangularView.html">ConstTriangularView</a> &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a73ca46a84e28341d77555af1016b088f">conjugateIf</a> () const</td></tr>
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<tr class="memitem:a1a93a0f49120eb541dfdec296c8caf11"><td class="memItemLeft" align="right" valign="top">Scalar&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a1a93a0f49120eb541dfdec296c8caf11">determinant</a> () const</td></tr>
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<tr class="memitem:a1f6fb4e5ceeec0d6fa532e8d30d745a2"><td class="memItemLeft" align="right" valign="top">NestedExpression &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a1f6fb4e5ceeec0d6fa532e8d30d745a2">nestedExpression</a> ()</td></tr>
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<tr class="memitem:ad5bdcddb992a10fec8c9103484be38d6"><td class="memItemLeft" align="right" valign="top">const NestedExpression &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#ad5bdcddb992a10fec8c9103484be38d6">nestedExpression</a> () const</td></tr>
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<tr class="memitem:a04ed3dbaf08f587d93390f62ffcbd6a8"><td class="memItemLeft" align="right" valign="top">EIGEN_CONSTEXPR <a class="el" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a04ed3dbaf08f587d93390f62ffcbd6a8">rows</a> () const EIGEN_NOEXCEPT</td></tr>
<tr class="separator:a04ed3dbaf08f587d93390f62ffcbd6a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adae7bc673362c390055ed5fb6470deb7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>&lt; MatrixTypeNestedNonRef, Mode &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#adae7bc673362c390055ed5fb6470deb7">selfadjointView</a> ()</td></tr>
<tr class="separator:adae7bc673362c390055ed5fb6470deb7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a217584be942379d9a8823945fd7164cd"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>&lt; MatrixTypeNestedNonRef, Mode &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a217584be942379d9a8823945fd7164cd">selfadjointView</a> () const</td></tr>
<tr class="separator:a217584be942379d9a8823945fd7164cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5155b6abdfe67f5e2b3e48a885c62b55"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1TriangularView.html">ConstTransposeReturnType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a5155b6abdfe67f5e2b3e48a885c62b55">transpose</a> () const</td></tr>
<tr class="separator:a5155b6abdfe67f5e2b3e48a885c62b55"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1ce0d4bf861752dad758104d3e700dfc"><td class="memTemplParams" colspan="2">template&lt;class Dummy  = int&gt; </td></tr>
<tr class="memitem:a1ce0d4bf861752dad758104d3e700dfc"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1TriangularView.html">TransposeReturnType</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1TriangularView.html#a1ce0d4bf861752dad758104d3e700dfc">transpose</a> (std::enable_if_t&lt; Eigen::internal::is_lvalue&lt; MatrixType &gt;::value, Dummy * &gt;=nullptr)</td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="a74b35395bc560769e1cc0780d79e40b6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a74b35395bc560769e1cc0780d79e40b6">&#9670;&nbsp;</a></span>adjoint()</h2>

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template&lt;typename MatrixType_ , unsigned int Mode_&gt; </div>
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          <td class="memname">const <a class="el" href="classEigen_1_1TriangularView.html">AdjointReturnType</a> <a class="el" href="classEigen_1_1TriangularView.html">Eigen::TriangularView</a>&lt; MatrixType_, Mode_ &gt;::adjoint </td>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#afacca1f88da57e5cd87dd07c8ff926bb">MatrixBase::adjoint() const </a> </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#afabe504a561db96a705b76d352df53b1">&#9670;&nbsp;</a></span>cols()</h2>

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template&lt;typename MatrixType_ , unsigned int Mode_&gt; </div>
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          <td class="memname">EIGEN_CONSTEXPR <a class="el" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="el" href="classEigen_1_1TriangularView.html">Eigen::TriangularView</a>&lt; MatrixType_, Mode_ &gt;::cols </td>
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<p></p>
<dl class="section return"><dt>Returns</dt><dd>the number of columns. </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="classEigen_1_1TriangularView.html#a04ed3dbaf08f587d93390f62ffcbd6a8">rows()</a>, ColsAtCompileTime </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a00cdd6b7f59dcddd70c820cf1f8f3b42">&#9670;&nbsp;</a></span>conjugate()</h2>

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<dl class="section see"><dt>See also</dt><dd>MatrixBase::conjugate() const  </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a73ca46a84e28341d77555af1016b088f">&#9670;&nbsp;</a></span>conjugateIf()</h2>

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template&lt;typename MatrixType_ , unsigned int Mode_&gt; </div>
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template&lt;bool Cond&gt; </div>
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<dl class="section return"><dt>Returns</dt><dd>an expression of the complex conjugate of <code>*this</code> if Cond==true, returns <code>*this</code> otherwise. </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a1a93a0f49120eb541dfdec296c8caf11">&#9670;&nbsp;</a></span>determinant()</h2>

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template&lt;typename MatrixType_ , unsigned int Mode_&gt; </div>
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<dl class="section return"><dt>Returns</dt><dd>the determinant of the triangular matrix </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#a7ad8f77004bb956b603bb43fd2e3c061">MatrixBase::determinant()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a reference to the nested expression </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#ad5bdcddb992a10fec8c9103484be38d6">&#9670;&nbsp;</a></span>nestedExpression() <span class="overload">[2/2]</span></h2>

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<dl class="section return"><dt>Returns</dt><dd>a const reference to the nested expression </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a04ed3dbaf08f587d93390f62ffcbd6a8">&#9670;&nbsp;</a></span>rows()</h2>

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          <td class="memname">EIGEN_CONSTEXPR <a class="el" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> <a class="el" href="classEigen_1_1TriangularView.html">Eigen::TriangularView</a>&lt; MatrixType_, Mode_ &gt;::rows </td>
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<p></p>
<dl class="section return"><dt>Returns</dt><dd>the number of rows. </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="classEigen_1_1TriangularView.html#afabe504a561db96a705b76d352df53b1">cols()</a>, RowsAtCompileTime </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#adae7bc673362c390055ed5fb6470deb7">&#9670;&nbsp;</a></span>selfadjointView() <span class="overload">[1/2]</span></h2>

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          <td class="memname"><a class="el" href="classEigen_1_1SelfAdjointView.html">SelfAdjointView</a>&lt;MatrixTypeNestedNonRef,Mode&gt; <a class="el" href="classEigen_1_1TriangularView.html">Eigen::TriangularView</a>&lt; MatrixType_, Mode_ &gt;::selfadjointView </td>
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<dl class="section return"><dt>Returns</dt><dd>a selfadjoint view of the referenced triangular part which must be either <code><a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdafca2ccebb604f171656deb53e8c083c1">Upper</a></code> or <code><a class="el" href="group__enums.html#gga39e3366ff5554d731e7dc8bb642f83cdaf581029282d421eee5aae14238c6f749">Lower</a></code>.</dd></dl>
<p>This is a shortcut for</p><div class="fragment"><div class="line">this-&gt;<a class="code" href="classEigen_1_1TriangularView.html#ad5bdcddb992a10fec8c9103484be38d6">nestedExpression</a>().selfadjointView&lt;(*this)::Mode&gt;() </div>
<div class="ttc" id="aclassEigen_1_1TriangularView_html_ad5bdcddb992a10fec8c9103484be38d6"><div class="ttname"><a href="classEigen_1_1TriangularView.html#ad5bdcddb992a10fec8c9103484be38d6">Eigen::TriangularView::nestedExpression</a></div><div class="ttdeci">const NestedExpression &amp; nestedExpression() const</div><div class="ttdef"><b>Definition:</b> TriangularMatrix.h:234</div></div>
</div><!-- fragment --> <dl class="section see"><dt>See also</dt><dd>MatrixBase::selfadjointView() </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a217584be942379d9a8823945fd7164cd">&#9670;&nbsp;</a></span>selfadjointView() <span class="overload">[2/2]</span></h2>

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<p>This is the const version of <a class="el" href="classEigen_1_1TriangularView.html#adae7bc673362c390055ed5fb6470deb7">selfadjointView()</a> </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a5155b6abdfe67f5e2b3e48a885c62b55">&#9670;&nbsp;</a></span>transpose() <span class="overload">[1/2]</span></h2>

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<dl class="section see"><dt>See also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a59eb71a8633da26de5e3e03351b2291e">MatrixBase::transpose() const </a> </dd></dl>

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template&lt;typename MatrixType_ , unsigned int Mode_&gt; </div>
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template&lt;class Dummy  = int&gt; </div>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a43cbcd866a0737eb56642c2e992f0afd">MatrixBase::transpose()</a> </dd></dl>

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<hr/>The documentation for this class was generated from the following file:<ul>
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